A320835 - cp's OEIS frontend

A320835 a(n) = Sum (-1)^k where the sum is over all multiset partitions of a multiset whose multiplicities are the prime indices of n and k is the number of parts, or factorizations of A181821(n).

n	a(n)
1	1
2	-1
3	0
4	0
5	-1
6	0
7	1
8	1
9	1
10	1
11	-1
12	1
13	1
14	0
15	0
16	1
17	-1
18	0
19	2
20	1
21	1
22	1
23	-2
24	0
25	1
26	0
27	0
28	0
29	2
30	0
31	-2
32	-2
33	-1
34	1
35	-1
36	-2
37	3
38	-1
39	1
40	-2
41	-3
42	-2
43	3
44	0
45	-3
46	1
47	-4
48	-5
49	1
50	-1
51	-2
52	-1
53	5
54	-5
55	1
56	-3
57	1
58	-1
59	-5
60	-4
61	5
62	1
63	-1
64	-9
65	-2
66	-1
67	-6
68	-1
69	-3
70	-2
71	7
72	-7
73	-8
74	-2
75	-2

[1, -1, 0, 0, -1, 0, 1, 1, 1, 1, -1, 1, 1, 0, 0, 1, -1, 0, 2, 1, 1, 1, -2, 0, 1, 0, 0, 0, 2, 0, -2, -2, -1, 1, -1, -2, 3, -1, 1, -2, -3, -2, 3, 0, -3, 1, -4, -5, 1, -1, -2, -1, 5, -5, 1, -3, 1, -1, -5, -4, 5, 1, -1, -9, -2, -1, -6, -1, -3, -2, 7, -7, -8, -2, -2]

cp's OEIS Frontend

A320835 a(n) = Sum (-1)^k where the sum is over all multiset partitions of a multiset whose multiplicities are the prime indices of n and k is the number of parts, or factorizations of A181821(n).

Table of values

List of values

n	a(n)
1	1
2	-1
3	0
4	0
5	-1
6	0
7	1
8	1
9	1
10	1
11	-1
12	1
13	1
14	0
15	0
16	1
17	-1
18	0
19	2
20	1
21	1
22	1
23	-2
24	0
25	1
26	0
27	0
28	0
29	2
30	0
31	-2
32	-2
33	-1
34	1
35	-1
36	-2
37	3
38	-1
39	1
40	-2
41	-3
42	-2
43	3
44	0
45	-3
46	1
47	-4
48	-5
49	1
50	-1
51	-2
52	-1
53	5
54	-5
55	1
56	-3
57	1
58	-1
59	-5
60	-4
61	5
62	1
63	-1
64	-9
65	-2
66	-1
67	-6
68	-1
69	-3
70	-2
71	7
72	-7
73	-8
74	-2
75	-2

n	a(n)
1	1
2	-1
3	0
4	0
5	-1
6	0
7	1
8	1
9	1
10	1
11	-1
12	1
13	1
14	0
15	0
16	1
17	-1
18	0
19	2
20	1
21	1
22	1
23	-2
24	0
25	1
26	0
27	0
28	0
29	2
30	0
31	-2
32	-2
33	-1
34	1
35	-1
36	-2
37	3
38	-1
39	1
40	-2
41	-3
42	-2
43	3
44	0
45	-3
46	1
47	-4
48	-5
49	1
50	-1
51	-2
52	-1
53	5
54	-5
55	1
56	-3
57	1
58	-1
59	-5
60	-4
61	5
62	1
63	-1
64	-9
65	-2
66	-1
67	-6
68	-1
69	-3
70	-2
71	7
72	-7
73	-8
74	-2
75	-2

n	a(n)
1	1
2	-1
3	0
4	0
5	-1
6	0
7	1
8	1
9	1
10	1
11	-1
12	1
13	1
14	0
15	0
16	1
17	-1
18	0
19	2
20	1
21	1
22	1
23	-2
24	0
25	1
26	0
27	0
28	0
29	2
30	0
31	-2
32	-2
33	-1
34	1
35	-1
36	-2
37	3
38	-1
39	1
40	-2
41	-3
42	-2
43	3
44	0
45	-3
46	1
47	-4
48	-5
49	1
50	-1
51	-2
52	-1
53	5
54	-5
55	1
56	-3
57	1
58	-1
59	-5
60	-4
61	5
62	1
63	-1
64	-9
65	-2
66	-1
67	-6
68	-1
69	-3
70	-2
71	7
72	-7
73	-8
74	-2
75	-2